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Finding the Fourth Proportional to 582.59, 804.48 and 426.11

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Solution

The fourth proportional to 582.59, 804.48 and 426.11 is: 588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.59 : 804.48 = 426.11 : x
  2. Step 2: Convert to fraction form
    582.59/804.48 = 426.11/x
  3. Step 3: Cross multiply
    582.59x = 804.48 × 426.11
  4. Step 4: Simplify right side
    582.59x = 342,796.97
  5. Step 5: Solve for x
    x = 342,796.97/582.59
  6. Step 6: Final answer
    x = 588.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.